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Question: Answered & Verified by Expert
A circular arc of radius 'r' carrying current 'I' subtends on angle $\frac{\pi}{16}$ at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of
cirçlar arç is
PhysicsMagnetic Effects of CurrentMHT CETMHT CET 2020 (15 Oct Shift 1)
Options:
  • A $\frac{\mu_{0} \text { I }}{16 r}$
  • B $\frac{\mu_{0} \text { I }}{32 r}$
  • C $\frac{\mu_{0} I}{64 r}$
  • D $\frac{\mu_{0} \text { I }}{8 r}$
Solution:
2894 Upvotes Verified Answer
The correct answer is: $\frac{\mu_{0} I}{64 r}$
$B_{a t 0}=\frac{\mu_{0} I}{4 \pi \varepsilon}\left(\frac{\pi}{1}\right.)$
$B_{a t 0}=\frac{\mu_{0} I}{64 \varepsilon}$

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